John is 10 years younger than his cousin Mark. In 20 years, how old will John be?

(1) Five years ago, Mark was twice as old as John.

(2) Mark's age in five years will be twice John's age right now.

If is a positive integer, is a prime number?

(1) is an integer

(2) is an integer

How old is Jasmine?

(1) The ratio of Jasmine's age to Katty's is 2:3

(2) The sum of Jasmine and Katty's ages is 40

What is the value of x + y² ?

(1) x² − x − 2 = 0

(2) y² + y − 2 = 0

A room has length , width , and height . What is the volume of the room?

(1)

(2) and

Is the mean of set greater than its median?

(1) All the elements in are consecutive multiples of .

(2) The sum of all the elements in is .

A set contains eight consecutive integers. What is the product of all the integers?

(1) The greatest integer in the set is 5

(2) The set contains both positive and negative integers

All four vertices of quadrilateral ABCD lie on a circle. What is the measure of ∠BAD?

(1) AC = CD

(2) $\angle \mathrm{ADC}$= $70°$

Is the integer x even?

(1) x³ + x² is even

(2) 3x is divisible by 6

If is a positive integer, what is the value of ?

(1) is a perfect square

(2)

If x, y, and z are all integers, is xyz odd?

(1) x - 1 is even

(2) $(y-z)(x-z)$ is odd

Is wx > y³z?

(1) wx > yz

(2) y = 1

For the four positive integers w, x, y, and z, is ?

(1) $\frac{w}{x}$ < $\frac{y}{z}$

(2) w + y < x + z

Is a⁵ − b² − c² > 0 ?

(1) ab > 0

(2) bc > 0

If is a positive integer, is divisible by ?

(1) is a multiple of

(2) is a prime number

If z = xy, then does z = 1?

(1) x(y − x) = 0

(2) y(x − y) = 0

If x ≠ 0, is x < 0?

(1) −x = |−x|

(2) x² = 16

If x, y and p are positive integers, is p even?

(1) p = xy and y is odd

(2) p = $\frac{x}{y}$ and x is odd